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Simplifying 8(2 + 7n) = -6n + 34 (2 * 8 + 7n * 8) = -6n + 34 (16 + 56n) = -6n + 34 Reorder the terms: 16 + 56n = 34 + -6n Solving 16 + 56n = 34 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 16 + 56n + 6n = 34 + -6n + 6n Combine like terms: 56n + 6n = 62n 16 + 62n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 16 + 62n = 34 + 0 16 + 62n = 34 Add '-16' to each side of the equation. 16 + -16 + 62n = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 62n = 34 + -16 62n = 34 + -16 Combine like terms: 34 + -16 = 18 62n = 18 Divide each side by '62'. n = 0.2903225806 Simplifying n = 0.2903225806
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